Extensions 1→N→G→Q→1 with N=Dic11 and Q=C10

Direct product G=N×Q with N=Dic11 and Q=C10
dρLabelID
C10×Dic11440C10xDic11440,27

Semidirect products G=N:Q with N=Dic11 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic11⋊C10 = C22⋊F11φ: C10/C1C10 ⊆ Out Dic114410Dic11:C10440,11
Dic112C10 = C4×F11φ: C10/C2C5 ⊆ Out Dic114410Dic11:2C10440,8
Dic113C10 = C2×C11⋊C20φ: C10/C2C5 ⊆ Out Dic1188Dic11:3C10440,10
Dic114C10 = C5×C11⋊D4φ: C10/C5C2 ⊆ Out Dic112202Dic11:4C10440,28
Dic115C10 = C20×D11φ: trivial image2202Dic11:5C10440,25

Non-split extensions G=N.Q with N=Dic11 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic11.C10 = C4.F11φ: C10/C1C10 ⊆ Out Dic118810-Dic11.C10440,7
Dic11.2C10 = C5×Dic22φ: C10/C5C2 ⊆ Out Dic114402Dic11.2C10440,24

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